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3 years ago

Write the first five terms of the sequence described by the recursive formula f(1)=2,f(x)=f(x-1)*4

Mathematics

1 answer:

VladimirAG [237]3 years ago

5 0

Answer:

2,8,32,128,512

Step-by-step explanation:

f(x)=f(x-1)*4

f(1)=2

f(2)=f(2-1)*4=f(1)*4=2*4=8

f(3)=f(3-1)*4=f(2)*4=8*4=32

f(4)=f(4-1)*4=f(3)*4=32*4=128

f(5)=f(5-1)*4=f(4)*4=128*4=512

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The mass of a watermelon is 1,940g more than the total mass of 8 similar peaches. If the total mass of the watermelon and

arsen [322]

Sorry just doing this for the points

7 0

3 years ago

A corner store sells two kinds of baked goods: cakes and pies. A cake costs $4 and a pie costs $6. In one day, the store sold 9

Troyanec [42]

Answer:

the number of cakes sell is 5

Step-by-step explanation:

The computation of the number of cakes sold is shown below;

Let us assume

The cake be C

And, the pie cost be P

Given that

There is two types of baked goods sold

The cost of the cake is $4

And, the cost of the pie cost is $64

Now the store sold 9 baked goods for a total of $44

So, the equation would be

C + P = 9

P = 9 - C ...... (1)

4C + 6P = 44............(2)

Now put the value of P in equation 2

4C + 6(9 - C) = 44

4C + 54 - 6C = 44

-2C = -10

C = 5

And, P = 4

hence, the number of cakes sell is 5

8 0

3 years ago

ABCD is a rectangle. The length of BD is 8 units, and m angle ABD is 67°. The length of AC is units, and m angle CDB is °.

Marina86 [1]

See the attached picture to better understand the problem
we know that
in rectangle ABCD
AB=CD
and
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units

the answer part a) is
BD= 8 units

Part b) Find angle CBD

we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°

the answer Part b) is
∠CBD=23 degrees

5 0

3 years ago

Read 2 more answers

The total cost for tuition plus room and board at State University is $2,584.00. Tuition costs $100 more than twice room and boa

liq [111]

Answer:

$1756

Step-by-step explanation:

1. More = Addition

2. Twice = Multiplication by 2

3. Tuition costs $100 more than twice room and board

Tuition = 2x + 100

$2584 = (2x + 100) + x

$2584 = 3x + 100

4. Subtract 100 on both sides: $2484 = 3x

5. Divide both sides by 3: $828 = x

6. Plug it in to the tuition equation: Tuition = 2(828) + 100

= $1756

Check Work: (828*2) + 100 = $1756

$1756 + 828 = $2584

7 0

2 years ago

Determine which side is the smallest in the diagram

AnnyKZ [126]

the shortest side is always opposite the smallest angle.

In triangle ABC the shortest side is AC

In triangle ADC the shortest side is DC

DC<AC since they are in the same triangle.

5 0

3 years ago